Stefanie is in a freestyle aerial competition. The equation h = - 16t + 30t +10 models Stefanie's height h, in
feet, t in seconds after leaving the ramp.
a. How long is Stefanie in the air?
B. When will Stefanien reach a height of 15 feet?

A = about 2.2 seconds

B = between 0.2 and 1.7 seconds

Step-by-step explanation:

A .to calculate the time in the air, we have to replache h=0.

h = - 16t + 30t +10

0 = - 16t + 30t +10

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

a=-16 ; b=30 ; c=10

Replacing with the values given:

x =[ -30 ± √(30)²-4(-16)10] /2(-16)

x = [ -30 ± √900 +640] /-32

x = [ -30 ± √1,540] /-32

x = [-30 ± 39.24] /-32

Negative:

x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds

B. .to calculate this, we have to replache h=15.

15 = - 16t + 30t +10

0 = - 16t + 30t +10-15

0=  - 16t + 30t -5

a=-16 ; b=30 ; c=-5

Applying the quadratic formula again:

x =[ -30 ± √(30)²-4(-16)-5] /2(-16)

x = [ -30 ± √900-320] /-32

x = [ -30 ± √580] /-32

x = [-30 ± 24.08] /-32

Positive:

x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds

Negative:

x = [-30 -24.08] /-32 = 1.7seconds

Feel free to ask for more if needed or if you did not understand something.

yeet

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer